381699707088960 has 896 divisors, whose sum is σ = 1551479807270400. Its totient is φ = 87552514621440.

The previous prime is 381699707088913. The next prime is 381699707088967. The reversal of 381699707088960 is 69880707996183.

381699707088960 is a `hidden beast` number, since 381 + 6 + 9 + 9 + 7 + 0 + 70 + 88 + 96 + 0 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 381699707088960.

It is not an unprimeable number, because it can be changed into a prime (381699707088967) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 128712822 + ... + 131644938.

It is an arithmetic number, because the mean of its divisors is an integer number (1731562284900).

Almost surely, 2^{381699707088960} is an apocalyptic number.

381699707088960 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 381699707088960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (775739903635200).

381699707088960 is an abundant number, since it is smaller than the sum of its proper divisors (1169780100181440).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

381699707088960 is a wasteful number, since it uses less digits than its factorization.

381699707088960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2932236 (or 2932220 counting only the distinct ones).

The product of its (nonzero) digits is 1975228416, while the sum is 81.

The spelling of 381699707088960 in words is "three hundred eighty-one trillion, six hundred ninety-nine billion, seven hundred seven million, eighty-eight thousand, nine hundred sixty".